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Uniform Decay for the Coupled Klein-Gordon-Schrödinger Equation with Linear Memory

✍ Scribed by Jong Yeoul Park; Jung Ae Kim

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
479 KB
Volume
110
Category
Article
ISSN
0167-8019

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📜 SIMILAR VOLUMES

Global existence and uniform decay for t
Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term
✍ Jong Yeoul Park; Joung Ae Kim 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract In this paper we are concerned with the existence and energy decay of solution to the initial boundary value problem for the coupled Klein–Gordon–Schrödinger equations with non‐linear boundary damping and memory term. Copyright © 2006 John Wiley & Sons, Ltd.

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The existence of the classical global solutions for the non-linear Klein-Gordon-Schro¨dinger equations is proved in H-subcritical cases for space dimensions n)5. For higher space dimensions 6)n)9, we will give a subsequent paper to deal with.